76723720 has 48 divisors (see below), whose sum is σ = 183407940. Its totient is φ = 28879872.

The previous prime is 76723711. The next prime is 76723727. The reversal of 76723720 is 2732767.

It can be written as a sum of positive squares in 6 ways, for example, as 30184036 + 46539684 = 5494^2 + 6822^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (76723727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8242 + ... + 14878.

Almost surely, 2^76723720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76723720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91703970).

76723720 is an abundant number, since it is smaller than the sum of its proper divisors (106684220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76723720 is a wasteful number, since it uses less digits than its factorization.

76723720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 34.

The square root of 76723720 is about 8759.2077267296. The cubic root of 76723720 is about 424.9226525908.

The spelling of 76723720 in words is "seventy-six million, seven hundred twenty-three thousand, seven hundred twenty".